交流电电气参量高精度测量的加权算法

Weighted Algorithm for High|accuracy Measurement of AC Electrical Parameters

针对传统的采样算法测量交流电电气参量误差较大的问题 ,基于多次平均思想 ,提出了一种电气参量测量的加权算法 ,并给出了加权函数的递推公式及其前 6阶加权函数的解析表达式。误差分析和数值模拟均表明 :若采用k阶加权函数 ,各电气参量测量值的同步误差正比于相对频偏的k次方。在电力系统中 ,只需取k =3而不必引入其它同步措施 ,便可将因非同步采样引起的测量误差降低到 10 -5的量级以下。

To reduce the error of AC electrical parameter measurement by the conventional sampling algorithm, a weighted algorithm is proposed based on the multi-average concept. Recursive formulas and weighted functions up to the sixth order are derived. Both error analysis and numerical simulation show that the measuring error is proportional to the kth power of the relative frequency deviation if the kth order weighted function is adopted. In the power network, the measuring error caused by asynchronous sampling could be reduced to the order of 10-5 if only k = 3, while no special synchronous sampling technique is needed.